2023/12/07 by Johannes Krotz, Krotz, Johannes, Cory D. Hauck +3 · 3 citations
Engineering · Materials Science · Decision Sciences · #Nuclear reactor physics and engineering #Electron and X-Ray Spectroscopy Techniques #Probabilistic and Robust Engineering Design
paper · pdf · doi:10.48550/arxiv.2312.04217
We present a hybrid method for time-dependent particle transport problems that combines Monte Carlo (MC) estimation with deterministic solutions based on discrete ordinates. For spatial discretizations, the MC algorithm computes a piecewise constant solution and the discrete ordinates uses bilinear discontinuous finite elements. From the hybridization of the problem, the resulting problem solved by Monte Carlo is scattering free, resulting in a simple, efficient solution procedure. Between time steps, we use a projection approach to ``relabel'' collided particles as uncollided particles. From a series of standard 2-D Cartesian test problems we observe that our hybrid method has improved accuracy and reduction in computational complexity of approximately an order of magnitude relative to standard discrete ordinates solutions.